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Finding the Third Proportional to 27,756.75 and 41,020.13

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Solution

The third proportional to 27,756.75 and 41,020.13 is: 60,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756.75 : 41,020.13 = 41,020.13 : x
  2. Step 2: Convert to fraction form
    27,756.75/41,020.13 = 41,020.13/x
  3. Step 3: Cross multiply
    27,756.75x = 41,020.13 × 41,020.13
  4. Step 4: Simplify right side
    27,756.75x = 1,682,650,655.02
  5. Step 5: Solve for x
    x = 1,682,650,655.02/27,756.75
  6. Step 6: Final answer
    x = 60,621.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.